A small movie theater sells children's tickets for $4 each and adult tickets for $10 each for an animated
movie. The theater sells a total of $388 in ticket sales.
(a) If c represents the number of children's (b) Show that c= 52 and a =18 is a solution to
tickets sold and a represents the number of
this equation (not system).
adult tickets sold, write an equation that
models the information shown above.
C) Show that after multiplying both sides of the
equation in (a) by 2, c=52 and a=18 is
still a solution to this equation.
(d) How can you interpret multiplying both sides
of the equation by 2 in letter (a) in terms of
ticket prices and total ticket sales?

The statement that describes the association between a player's age, and the average points is: C. There is a positive linear association and one outlier.

The scatter plot shows a positive linear relationship because the points shown on the scatter plot closely look like a straight line.

We able to identify only one outlier based on the regression line because their is a distance between the point and the regression line.

Therefore there is a positive linear association and one outlier.

Learn more about Linear association and outlier here:https://brainly.com/question/9984029

https://brainly.com/question/2749543

The amount of money Adam should save now in order to accomplish his goal is $13,470.30.

In order to determine the amount Adam should save now, the present valaue of $19,000 has to be determined. Present value is the sum of discounted cash flows.

Present value = future value / (1 + interest)^time

Interest = 1.92/2 = 0.96%

Time = 18 x 2 = 36

$19,000 / (1.0096^36) = $13,470.30

To learn more about present value, please check: https://brainly.com/question/26537392

Answer:

carly=25 camden=5

Step-by-step explanation:

carly:camden= 5:1

5+1=6

30/6=5

carly= 5x5=25

camden=5x1=5

Answer:

4th option

Step-by-step explanation:

Remember the Quotient Rule:

[tex]\frac{x^{m} }{x^{n} } =x^{m-n}[/tex]

6-2 = 4

So it is the last option

Answer:

no

Step-by-step explanation:

a proportional relationship when graphed always is a straight line that goes through the origin (0,0)

The graph shown, shows a straight line but the line doesn't go through the origin therefore the graph does not show a proportional relationship.

Note that the origin is where the x and y axis cross , or the bottom right corner of the graph in this case

Answer:

Step-by-step explanation:

Use a volume formula.

Volume formula:

[tex]\Longrightarrow:\sf{V=L*W*H}[/tex]

Multiply.

[tex]\sf{3*3*3=\boxed{\sf{27}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

The probability of popping a balloon is the likelihood of the balloon

The given parameters are:

There are three balloons.

So, the theoretical probability of popping a stripped balloon is:

P = 1/3

The experimental probability of not popping a polka dot is calculated as:

P = 1 - P(Polka dot)

This gives

P = 1 - 5/40

Evaluate

P = 0.875

Hence, the experimental probability of not popping a polka dot is 0.875

Read more about probability at:

https://brainly.com/question/251701

The appropraite statistical test that would be used to measure the difference  in the variability of the mean scores among the three schools is mean absolute deviation.

Mean absolute deviation is the average of the absolute difference between the data set and its mean. Mean absolute deviation is used to measure spread.

MAD =  [tex]\frac{1}{n}[/tex]∑ l x - m(x) l

Where:

To learn more about mean absolute deviation, please check: https://brainly.com/question/27365177

let's recall that d = rt, namely distance = rate * time.

d = distance from one pier to another

c = speed of the current

b = speed of the boat

now, let's notice something, on the way over the boat travelled "d" kilometers in 4 hrs, and back the same "d" kilometers in 5 hours.

when going with the current, the boat is not really going at "b" km/s, is really going faster, at "b + c" km/s, because the current is adding to it.

now, when going against the current, the boat is not really going "b" fast, is really going slower, at "b - c", because the current is subtracting from it.

from the above, we can conclude that the 4hrs trip was with the current, since it took less time, and the 5hrs trip was against the current, and we also know that the boat does 70 km with the current in 3.5 hrs, ok hmmm let's put all that in a table.

[tex]\begin{array}{lcccl} &\stackrel{km}{distance}&\stackrel{km/h}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{on the way over}&d&b+c&4\\ \textit{on the way back}&d&b-c&5\\\cline{1-4} \textit{we also know}&70&b+c&3.5 \end{array}~\hfill \begin{cases} d=(b+c)4\\\\ d = (b-c)5 \end{cases} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{(b+c)4~~ = ~~(b-c)5}\implies 4b+4c=5b-5c \\\\\\ 4c=b-5c\implies \boxed{9c=b} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{we know that}}{70~~ = ~~(b+c)3.5}\implies 70=(b+c)\cfrac{7}{2}\implies \stackrel{\textit{substituting "b"}}{70=(9c+c)\cfrac{7}{2}} \\\\\\ 70=10c\cdot \cfrac{7}{2}\implies 70=\cfrac{70c}{2}\implies 140=70c\implies \cfrac{140}{70}=c\implies \blacktriangleright 2=c \blacktriangleleft \\\\\\ \stackrel{\textit{the speed of the boat in still water is then}}{9c=b\implies 9(2)=b}\implies \blacktriangleright 18=b\blacktriangleleft[/tex]

Answer:

OPTION C

Step-by-step explanation:

This function is odd function because it is symmetric about the origin

Note:This graph also represents the graph of tanx

I hope it helped you

Answer:

Step-by-step explanation:

Answer:

44 286 ft²

Step-by-step explanation:

4 686.144+3 600+36 000

=44 286.144

The answer is F(t)=30-5t

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here: The temperature at the North Pole is 30°F and is expected to drop 5°F per hour for the next several hours.

let the time in hours be t and F(t) be the temperature after t hours then we have the following equation:

F(t)=30-5t

Hence, The answer is F(t)=30-5t

Learn more about linear equation here:

https://brainly.com/question/29739212

#SPJ2

Answer:

l = 6[tex]a^{4}[/tex] + 2a - 1

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = lw ( l is the length and w the width )

given A = 18[tex]a^{5}[/tex] + 6a² - 3a and w = 3a , then

3aw = 18[tex]a^{5}[/tex] + 6a² - 3a ( divide each term by 3a )

w = [tex]\frac{18a^{5} }{3a}[/tex] + [tex]\frac{6a^2}{3a}[/tex] - [tex]\frac{3a}{3a}[/tex] = 6[tex]a^{4}[/tex] + 2a - 1

Answer:

D. (5, 4)

Step-by-step explanation:

4x + y = 16       ----->     y = 16 - 4x

2x + 3y = -2

Substitute to find x

2x + 3(16 - 4x) = -2

2x + 48 - 12x = -2

-10x = -50

x = 5

Substitute to find y

4(5) + y = 16

20 + y = 16

y = 4

Final solution: (5, 4)

Hope this helps!

"7 * 4

the * is times

Step-by-step explanation:

that's it in expanded form"

Expanding the expressions:

1)

⇒ (-6)⁵

⇒ (-6)(-6)(-6)(-6)(-6)

⇒ -7776

2)

⇒ (-2)³

⇒ (-2)(-2)(-2)

⇒ (4)(-2)

⇒ -8

3)

⇒ (-3)⁴

⇒ (-3)(-3)(-3)(-3)

⇒ (9)(9)

⇒ 81

4)

⇒ (-1)⁵

⇒ (-1)(-1)(-1)(-1)(-1)

⇒ -1

Answer:

Isocoles (I can't spell)

Step-by-step explanation:

180-70=110. 110-40=70.

Two angles are 70

Time drew the isosceles triangle because the two angles are equal.

Given that,
Tim drew a triangle with one angle of measure 40 degrees and the other 70 degrees. which triangle Tim drew is to be determined.

A triangle with two sides and two congruent angles is called an isosceles triangle.

Here,
Let one of the angles be x
Sum of angles = 180
40 + 70 + x = 180
x = 70
As two of the angle become equal the triangle becomes an isosceles triangle.

Thus, Time drew the isosceles triangle because the two angles are equal.

Learn more about the isosceles triangle here: https://brainly.com/question/2456591

#SPJ2

To find the lengths of a right triangle, we can use what is called Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the legs of the triangle and c is the hypotenuse.

13^2 + b^2 = 17^2

169 + b^2 = 289

b^2 = 120

b = 11.0 cm

The length of the other leg of the triangle is 11.0 cm (rounded).

Hope this helps!

The length of the other leg of the triangle is 11.0 cm rounded to the nearest tenth.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

[tex]a^2 + b^2 = c^2[/tex]

Given that One of the legs of a right triangle measures 13 cm and its hypotenuse measures 17 cm.

To find the lengths of a right triangle, we can use Pythagorean Theorem:

[tex]a^2 + b^2 = c^2[/tex],

where; a and b are the legs of the triangle and c is the hypotenuse.

[tex]13^2 + b^2 = 17^2\\169 + b^2 = 289\\b^2 = 120[/tex]

b = 11.0 cm

Therefore, The length of the other leg of the triangle is 11.0 cm rounded to the nearest tenth.

Learn more about Pythagoras theorem;

https://brainly.com/question/343682

#SPJ2

Answer:

6 times means 6 multiplied by

The sum of a number and 2 means x + 2

x = number

(2+x) × 6

Answer:

Empirical probability

And

Theoretical

hope this helps! :)

Answer:

i dunno'

Step-by-step explanatio i dont know how to explain diss this

Answer:

∠ BCD = 44°

Step-by-step explanation:

the secant- tangent angle BCD is half the difference of the intercepted arcs, so

∠ BCD = [tex]\frac{1}{2}[/tex] (EB - BD) = [tex]\frac{1}{2}[/tex] (171 - 83)° = [tex]\frac{1}{2}[/tex] × 88° = 44°

Answer:

A. The farmer plants 195 rows of beets and has 25 beet plants left over

Step-by-step explanation:

The quotient 195 is the number of full rows the farmer can make. That takes up 195*40 = 7800 plants so far. Then there's an extra 25 left over because 7825-7800 = 25 that can't make up an extra full row.

Answer:

c = √5

using pythagoras theorem:

Answer:

2.236 or root 5

Step-by-step explanation:

To use it for this question, we know the lengths of both a and b. (It doesn't matter which is which). 2^2+1^2=4+1=5. Root five is about 2.236

Answer:

The answer would be 2000

Step-by-step explanation:

Knowing that there are 1000 milliliters in 1 liter, you can multiply that by 2 to get 2000. I hope this helps! :)

Answer:

Step-by-step explanation:

10/5: not part of the answer. This gives 2. The original ratio gives 5.

120 / 36 is not part of the answer. This gives 3 1/3 which is not 5

The last 3 are the only ones you should choose.

Answer:

refer to this image here:

hope this helps :)

We will use graphical way to solve it

Graph it

Solution is

Answer:

W: (-4,5) W' -> (5,4)

X: (-1,4) X' -> (4,1)

Y: (-6,1) Y' -> (1,6)

Z: (-8,3) Z' -> (3,8)

Step-by-step explanation:

Let me give you a quick brief of how to master rotations!!

You need to understand the formula and positioning rules

The formulas shall be given by teachers or looked up!

*** BUT THE SHAPE POSITIONING RULES MATTER!!

-If the shape was in quadrant 2 which is where it is right now then a 90 degree turn clockwise would result in the shape being on quadrant 1, 180 quad 4, 270: quad 3, and 360 would be the original quad which is 2.

The formula for clockwise for this one is that you need to flip the (x,y) to (y,x)

The shape should be on quadrant 1 which is the one on the top right of the coordinate plane!

They want you to graph it by W'X'Y'Z

The ' is prime which is the new position/coordinate

W: (-4,5) W' -> (5,4)

X: (-1,4) X' -> (4,1)

Y: (-6,1) Y' -> (1,6)

Z: (-8,3) Z' -> (3,8)

That is the rotation 90 degrees clockwise coordinates!!

***REMEMBER EACH ROTATION RULE HAS A DIFFERENT FORMULA!!**

Counterclockwise is pretty similar but the opposite direction with different rules!

**POSITION OF THE SHAPE IS THE MOST IMPORTANT!!!**